Titlebook: Artificial Evolution; Third European Confe Jin-Kao Hao,Evelyne Lutton,Dominique Snyers Conference proceedings 1998 Springer-Verlag Berlin H

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Asymptotical convergence rates of simple evolutionary algorithms under factorizing mutation distribwith normally distributed mutations. Such mutation distributions must be factorizing and the absolute fourth moments must be finite. Under these conditions an asymptotical theory of the convergence rates of simple evolutionary algorithms can be established for the entire class of distributions.

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cient to achieve the transition by a chain of small mutations. Consequently, even one-bit mutations would be sufficient to make the GA globally convergent, because they can be chained to achieve a multi-bit mutation. All this study is performed with respect to the theory of non-negative matrices and their relationship to Markov chains.

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